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Oct 25, 2010 at 8:46 comment added j.p. No chance to calculate the homology of your poset without the atoms with Simplicial Homology for GAP?
Oct 25, 2010 at 8:36 comment added j.p. You cannot comment since you got yourself a second identity after you posted your question (probably you lost the cookie). Otherwise you had already 51 points and the power to comment (and you can anyway - also with only 1 point - comment on answers to your questions and on your own answers). You can contact an administrator to merge your accounts.
Oct 25, 2010 at 2:22 comment added user10249 Hmm... seems I can't comment yet, so I'll post my response here. To jp, thanks for a good idea. I have actually looked at something very similar using the paper "Extensions of G-posets and Quillen's Complex" by Segev and Webb (which refers to AS92). The poset X and Y in your poset don't seem to have homology which is easy to recognise, but there is an extension of Y which works much better. Still, I'm keen to understand Y as well.
Oct 22, 2010 at 21:13 history answered j.p. CC BY-SA 2.5